Results 31 to 40 of about 10,784,145 (367)
On the noise sensitivity of monotone functions [PDF]
Random Structures & Algorithms, 2002 AbstractIt is known that for all monotone functions f : {0, 1}n → {0, 1}, if x ∈ {0, 1}n is chosen uniformly at random and y is obtained from x by flipping each of the bits of x independently with probability ϵ = n−α, then P[f(x) ≠ f(y)] < cn−α+1/2, for some c > 0.Previously, the best construction of monotone functions satisfying P[fn(x) ≠ fn(y)]
Mossel, Elchanan, O'Donnell, Ryan
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Continuity of monotone functions [PDF]
Pacific Journal of Mathematics, 1982 Two refractory problems in modern constructive analysis concern real-valued functions on the closed unit interval: Is every function pointwise continuous? Is every pointwise continuous function uniformly continuous? For monotone functions, some answers are given here.
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Вестник Дагестанского государственного технического университета: Технические науки, 2016 The numerical method of optimization the construction of radio-electronic device at early design stages by criterion of manufacturability when the area of tolerances in space of input variables in which all points restrictions on a manufacturability ...
G. Kh. Irzaev
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Global stability of a continuous bioreactor model under persistent variation of the dilution rate
Mathematical Biosciences and Engineering, 2023 In this work, the global stability of a continuous bioreactor model is studied, with the concentrations of biomass and substrate as state variables, a general non-monotonic function of substrate concentration for the specific growth rate, and constant ...
Alejandro Rincón +2 more
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Modeling Monotonic and Cyclic Behavior of Granular Materials by Exponential Constitutive Function
, 2018 It is still an open problem to develop a model with a uniform theoretical treatment under various loading conditions.
Z. Yin, Ze-xiang Wu, P. Hicher
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ON MONOTONE INCREASING REPRESENTATION FUNCTIONS
Bulletin of the Australian Mathematical Society, 2023 AbstractLet $k\ge 2$ be an integer and let A be a set of nonnegative integers. The representation function $R_{A,k}(n)$ for the set A is the number of representations of a nonnegative integer n as the sum of k terms from A. Let $A(n)$ denote the counting function of A. Bell and Shallit [‘Counterexamples to a conjecture of Dombi in additive number
SÁNDOR Z. KISS +2 more
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On a Conjecture of Alzer, Berg, and Koumandos
Mathematics, 2020 In this paper, we find a solution of an open problem posed by Alzer, Berg, and Koumandos: determine ( α , m ) ∈ R + × N such that the function x α | ψ ( m ) ( x ) | is completely monotonic on ( 0 , ∞ ) , where ψ (
Ladislav Matejíčka
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Dose-Response, 2023 We had previously demonstrated on various stable cell cultures exposed to chemically different nanoparticles when assessing their cytotoxicity by different outcomes, dose-response relationships may be either monotonic or non-monotonic falling within an ...
Tatiana V. Bushueva +7 more
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A SOLUTION TO QI’S EIGHTH OPEN PROBLEM ON COMPLETE MONOTONICITY
Проблемы анализа, 2021 n this paper, the complete monotonicity of 1/( arctan 𝑥) is proved. This problem was posted by F. Qi and R. P. Agarwal as the eighth open problem of collection of eight open problems.
A. Venkata Lakshmi
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A result regarding monotonicity of the Gamma function
Acta Universitatis Sapientiae: Mathematica, 2017 In this paper we analyze the monotony of the function ln Γ(x)ln (x2+τ)-ln (x+τ)${{{\rm{ln}}\,\Gamma ({\rm{x}})} \over {{\rm{ln}}\,({\rm{x}}^2 + \tau) - {\rm{ln}}\,({\rm{x}} + \tau)}}$ , for τ > 0.
Kupán Pál A. +2 more
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